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Assignment: Ratio and Proportion: Molten Lava Cake
You will apply ratios and proportions to help you convert a recipe to serve more people. Use the recipe to solve the problems. The problem is your recipe only serves 8 people. Start by using the information to make 1 serving per person. Use proportions to increase the recipe to serve 30 people.

Molten Lava Cake Recipe:

1 c of sugar
6 squares of bittersweet chocolate
2 squares semisweet chocolate
1 1/4 stick butter
1/2 cup all-purpose flour
1 1/2 cups confectioners’ sugar
3 large eggs
4 egg yolks
1 tsp vanilla extract
2 1/2 tablespoons orange liqueur
Use proportions to increase the recipe to serve 30 people (1 serving per person).
Complete the table to include:

Ratio for one serving (use the table to assist you).
(i.e. If the recipe uses 1 cup of sugar, and the recipe serves 8, the ratio for one serving equals 1/8 cup sugar) thus the answer would be 1/8
Proportions used to increase recipe to 30 servings.
(i.e. for the sugar 1/(8 servings) = x/(30 servings)) thus the answer is 1/8 = x/30
Show the work to solve the proportion. Round your measurement to the nearest half. (i.e. 3.222 teaspoons rounds to 3 teaspoons, 3.666 teaspoons rounds to 3½ teaspoons, 3.89 teaspoons round to 4 teaspoons), thus the answer is 4
Scaled Recipe – Ingredient and new amount needed for 30 servings. Show the exact answer or the rounded measurement, thus the answer is 4.687 or 4 1/2

Respuesta :

adioabiola

Here, we are required to apply ratios and proportions to help convert a recipe to serve more people.

The recipe for 30 people would be as follows:

  • 4 c of sugar
  • 22 ¹/2 squares of bittersweet chocolate
  • 7 ¹/2 squares semisweet chocolate
  • 4 ¹/2 stick butter
  • 2 cup all-purpose flour
  • 5 ¹/2cups confectioners’ sugar
  • 11 ¹/2 large eggs
  • 15 egg yolks
  • 4 tsp vanilla extract
  • 9 ¹/2 tablespoons orange liqueur.

The recipe in the question above only serves 8 persons.

However, we are required to convert the recipe into one that serves 30 persons.

To do that, it is important to first convert the recipe into one that serves one(1) person.

If the recipe serves 8 persons, therefore to serve 1 person, it requires dividing the quantity of each ingredient by 8.

The results are as follows:

  • 1/8 c of sugar
  • 6/8 = 3/4 squares of bittersweet chocolate
  • 2/8 = 1/4 squares semisweet chocolate
  • (1 1/4)/8 = 5/32 stick butter
  • (1/2)/8 = 1/16 cup all-purpose flour
  • (1 1/2)/8 = 3/16 cups confectioners’ sugar
  • 3/8 large eggs
  • 4/8 = 1/2 egg yolks
  • 1/8 tsp vanilla extract
  • (2 1/2)/8 = 5/16 tablespoons orange liqueur.

The new recipe above is for serving 1 person Molten lava cake.

Therefore, to serve 30 persons with the Molten lava cake, the quantity of each ingredient required for 1 person's serving i multiplied by 30.

The results are as follows:

  • (1/8) × 30 = 3.75 c of sugar
  • (3/4) × 30 = 22.5 squares of bittersweet chocolate
  • (1/4)×30 = 7.5 squares semisweet chocolate
  • (5/32) × 30 = 4.6875 stick butter
  • (1/16) ×30= 1.875 cup all-purpose flour
  • (3/16) ×30 = 5.625 cups confectioners’ sugar
  • (3/8)×30 = 11.25 large eggs
  • (1/2) ×30 = 15 egg yolks
  • (1/8) ×30 = 3.75 tsp vanilla extract
  • (5/16) ×30 = 9.375 tablespoons orange liqueur.

However, the question requires that the quantities be rounded off to the nearest half.

therefore we have,

4 c of sugar

22 ¹/2 squares of bittersweet chocolate

7 ¹/2 squares semisweet chocolate

4 ¹/2 stick butter

2 cup all-purpose flour

5 ¹/2cups confectioners’ sugar

11 ¹/2 large eggs

15 egg yolks

4 tsp vanilla extract

9 ¹/2 tablespoons orange liqueur.

Read more:

https://brainly.com/question/17442239

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